Question

(9/3/4 -10:1/2/3)*2/9+1/3​

Answer 1

Ответ:     1 1/6.

Пошаговое объяснение:

(9 3/4 -10:1 2/3)*2/9+1/3 = 1 1/6.

1)  10:1 2/3 = 10:5/3 = 10*3/5 = 6;

2) 9 3/4 - 6 = 3 3/4;

3)  3 3/4 * 2/9 = 15/4 * 2/9 = 5/6;

4)  5/6+1/3 = 5/6+2/6 = 7/6 = 1 1/6.

Answer 2

To solve the expression (9/3/4 - 10:1/2/3)*2/9+1/3, you should follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

1. Start by simplifying the division inside the parentheses:

   9/3/4 - 10 ÷ 1/2/3

   First, calculate 9/3 = 3:

   3/4 - 10 ÷ 1/2/3

   Then, calculate 1/2/3. When you divide by a fraction, you can multiply by its reciprocal, so 1/2/3 is the same as 1/2 * 3/1 = 3/2:

   3/4 - 10 ÷ 3/2

2. Now, calculate the division:

   3/4 - 10 ÷ 3/2

   To divide by a fraction, you multiply by its reciprocal, so 10 ÷ (3/2) is the same as 10 * (2/3):

   3/4 - 10 * (2/3)

3. Calculate the products:

   3/4 - (20/3)

4. Find a common denominator to subtract the fractions. The common denominator for 4 and 3 is 12:

   (3/4) * (3/3) - (20/3) * (4/4)

   Now, you have:

   9/12 - 80/12

5. Subtract the fractions:

   (9/12) - (80/12) = (-71/12)

6. Finally, continue with the rest of the expression:

   (-71/12) * 2/9 + 1/3

7. Calculate the products:

   (-71/12) * 2/9 = -71/54

8. Add the fractions:

   -71/54 + 1/3

9. To add these fractions, find a common denominator. The common denominator for 54 and 3 is 54:

   (-71/54) + (18/54)

10. Now, add the fractions:

(-71/54) + (18/54) = (-71 + 18)/54 = -53/54

So, the final result is -53/54.